Question

determine whether the following statement is true or false
when working problems involving probability with combinations, the numerators of the probability fractions consist of the total number of possible combinations

choose the correct answer below

a. the statement is true because the numerators of the probability fractions consist of the total number of combinations
b. the statement is false because the numerators of the probability fractions are always 1
c. the statement is false because the denominators of the probability fractions consist of the total number of combinations
d. the statement is false because the numerators of the probability fractions consist of the total number of permutations

Explanation:

When calculating probability using combinations, the formula is \(P=\frac{\text{number of favorable combinations}}{\text{total number of combinations}}\). So the denominator (not the numerator) of the probability fraction consists of the total number of combinations.

Answer:

C. The statement is false because the denominators of the probability fractions consist of the total number of combinations